SOLUTION: I'm doing something called the ambiguous case and need help doing this problem
In triangle XYZ, X=13 degrees, x=12ft and y=5ft find z
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In triangle XYZ, X=13 degrees, x=12ft and y=5ft find z
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Question 831663: I'm doing something called the ambiguous case and need help doing this problem
In triangle XYZ, X=13 degrees, x=12ft and y=5ft find z Answer by hovuquocan1997(83) (Show Source):
You can put this solution on YOUR website! Well, you gotta remember the formula to do this one
x/sinX = y/sinY
12/sin13 = 5/sinY
sinY = (5*sin13)/12
sinY = 0.09372960598 (well you need a calculator)
Then you find angle Y using sin inverse
Y = arcsin(0.09372960598)
Y = 5 degree (this is approximately)
Because angle Y you just found is less than angle X which is given in the question, there can only be 1 triangle. Now you have 2 angles in the triangle, let's find the third one, which is Z
angle Z = 180 - angle X - angle Y = 180 - 13 - 5 = 162 degree
Now you use the law of cosine formula to find side z = = = = = 16.826 (this is approximately)
TA-DAH
So side z=16.826 :D
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